For what values of the parameter \( a \) the equation \( x^{4}+2 a x^{3}+x^{2}+2 a x+1=0 \) has ...

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For what values of the parameter \( a \) the equation \( x^{4}+2 a x^{3}+x^{2}+2 a x+1=0 \) has atleast two distinct negative roots?
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